TESTING/LIN/ctrt01.f(3) Library Functions Manual TESTING/LIN/ctrt01.f(3) NAME TESTING/LIN/ctrt01.f SYNOPSIS Functions/Subroutines subroutine ctrt01 (uplo, diag, n, a, lda, ainv, ldainv, rcond, rwork, resid) CTRT01 Function/Subroutine Documentation subroutine ctrt01 (character uplo, character diag, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldainv, * ) ainv, integer ldainv, real rcond, real, dimension( * ) rwork, real resid) CTRT01 Purpose: !> !> CTRT01 computes the residual for a triangular matrix A times its !> inverse: !> RESID = norm( A*AINV - I ) / ( N * norm(A) * norm(AINV) * EPS ), !> where EPS is the machine epsilon. !> Parameters UPLO !> UPLO is CHARACTER*1 !> Specifies whether the matrix A is upper or lower triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !> DIAG !> DIAG is CHARACTER*1 !> Specifies whether or not the matrix A is unit triangular. !> = 'N': Non-unit triangular !> = 'U': Unit triangular !> N !> N is INTEGER !> The order of the matrix A. N >= 0. !> A !> A is COMPLEX array, dimension (LDA,N) !> The triangular matrix A. If UPLO = 'U', the leading n by n !> upper triangular part of the array A contains the upper !> triangular matrix, and the strictly lower triangular part of !> A is not referenced. If UPLO = 'L', the leading n by n lower !> triangular part of the array A contains the lower triangular !> matrix, and the strictly upper triangular part of A is not !> referenced. If DIAG = 'U', the diagonal elements of A are !> also not referenced and are assumed to be 1. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> AINV !> AINV is COMPLEX array, dimension (LDAINV,N) !> On entry, the (triangular) inverse of the matrix A, in the !> same storage format as A. !> On exit, the contents of AINV are destroyed. !> LDAINV !> LDAINV is INTEGER !> The leading dimension of the array AINV. LDAINV >= max(1,N). !> RCOND !> RCOND is REAL !> The reciprocal condition number of A, computed as !> 1/(norm(A) * norm(AINV)). !> RWORK !> RWORK is REAL array, dimension (N) !> RESID !> RESID is REAL !> norm(A*AINV - I) / ( N * norm(A) * norm(AINV) * EPS ) !> Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 123 of file ctrt01.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 TESTING/LIN/ctrt01.f(3)